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Predictive coding (PC) is an influential computational model of visual learning and inference in the brain. Classical PC was proposed as a top-down generative model, where the brain actively predicts upcoming visual inputs, and inference…

Machine Learning · Computer Science 2025-12-18 Gaspard Oliviers , Mufeng Tang , Rafal Bogacz

There is an increasing convergence between biologically plausible computational models of inference and learning with local update rules and the global gradient-based optimization of neural network models employed in machine learning. One…

Machine Learning · Computer Science 2021-11-16 Andre Ofner , Raihan Kabir Ratul , Suhita Ghosh , Sebastian Stober

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

Confidence calibration - the process to calibrate the output probability distribution of neural networks - is essential for safety-critical applications of such networks. Recent works verify the link between mis-calibration and overfitting.…

Machine Learning · Computer Science 2023-05-24 Linwei Tao , Minjing Dong , Daochang Liu , Changming Sun , Chang Xu

Large multilayer neural networks trained with backpropagation have recently achieved state-of-the-art results in a wide range of problems. However, using backprop for neural net learning still has some disadvantages, e.g., having to tune a…

Machine Learning · Statistics 2015-07-16 José Miguel Hernández-Lobato , Ryan P. Adams

Predictive coding networks (PCNs) constitute a biologically inspired framework for understanding hierarchical computation in the brain, and offer an alternative to traditional feedforward neural networks in ML. This note serves as a quick,…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Mikko Stenlund

Predictive coding (PC) replaces global backpropagation with local optimization over weights and activations. We show that linear PC networks admit a natural formulation as cellular sheaves: the sheaf coboundary maps activations to edge-wise…

Machine Learning · Computer Science 2025-11-17 Jeffrey Seely

Predictive coding networks are neuroscience-inspired models with roots in both Bayesian statistics and neuroscience. Training such models, however, is quite inefficient and unstable. In this work, we show how by simply changing the temporal…

Neural and Evolutionary Computing · Computer Science 2024-02-08 Tommaso Salvatori , Yuhang Song , Yordan Yordanov , Beren Millidge , Zhenghua Xu , Lei Sha , Cornelius Emde , Rafal Bogacz , Thomas Lukasiewicz

Research aimed at scaling up neuroscience inspired learning algorithms for neural networks is accelerating. Recently, a key research area has been the study of energy-based learning algorithms such as predictive coding, due to their…

Machine Learning · Computer Science 2026-01-30 Luca Pinchetti , Simon Frieder , Thomas Lukasiewicz , Tommaso Salvatori

Brain-inspired machine learning is gaining increasing consideration, particularly in computer vision. Several studies investigated the inclusion of top-down feedback connections in convolutional networks; however, it remains unclear how and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-09 Andrea Alamia , Milad Mozafari , Bhavin Choksi , Rufin VanRullen

The backpropagation of error algorithm (BP) is impossible to implement in a real brain. The recent success of deep networks in machine learning and AI, however, has inspired proposals for understanding how the brain might learn across…

Machine Learning · Computer Science 2018-11-21 Sergey Bartunov , Adam Santoro , Blake A. Richards , Luke Marris , Geoffrey E. Hinton , Timothy Lillicrap

Despite extensive progress on image generation, common deep generative model architectures are not easily applied to lossless compression. For example, VAEs suffer from a compression cost overhead due to their latent variables. This…

Machine Learning · Computer Science 2022-03-17 Anji Liu , Stephan Mandt , Guy Van den Broeck

There has been significant recent interest in quantum neural networks (QNNs), along with their applications in diverse domains. Current solutions for QNNs pose significant challenges concerning their scalability, ensuring that the…

Quantum Physics · Physics 2022-03-24 Mohsen Heidari , Ananth Grama , Wojciech Szpankowski

Probabilistic Circuits (PCs) are a class of generative models that allow exact and tractable inference for a wide range of queries. While recent developments have enabled the learning of deep and expressive PCs, this increased capacity can…

Machine Learning · Computer Science 2025-08-08 Hrithik Suresh , Sahil Sidheekh , Vishnu Shreeram M. P , Sriraam Natarajan , Narayanan C. Krishnan

In this work, we tackle the problems of efficiency and scalability for predictive coding networks (PCNs) in machine learning. To do so, we propose a library, called PCX, that focuses on performance and simplicity, and use it to implement a…

The state-of-the-art performance for several real-world problems is currently reached by convolutional neural networks (CNN). Such learning models exploit recent results in the field of deep learning, typically leading to highly performing,…

Machine Learning · Computer Science 2021-08-31 Giosuè Cataldo Marinò , Alessandro Petrini , Dario Malchiodi , Marco Frasca

Parameterized quantum circuits (PQCs) have emerged as a promising approach for quantum neural networks. However, understanding their expressive power in accomplishing machine learning tasks remains a crucial question. This paper…

Quantum Physics · Physics 2024-10-10 Zhan Yu , Qiuhao Chen , Yuling Jiao , Yinan Li , Xiliang Lu , Xin Wang , Jerry Zhijian Yang

Model Predictive Control (MPC) is an optimal control algorithm with strong stability and robustness guarantees. Despite its popularity in robotics and industrial applications, the main challenge in deploying MPC is its high computation…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Camilo Gonzalez , Houshyar Asadi , Lars Kooijman , Chee Peng Lim

Relieving the reliance of neural network training on a global back-propagation (BP) has emerged as a notable research topic due to the biological implausibility and huge memory consumption caused by BP. Among the existing solutions, local…

Machine Learning · Computer Science 2024-06-11 Yibo Yang , Xiaojie Li , Motasem Alfarra , Hasan Hammoud , Adel Bibi , Philip Torr , Bernard Ghanem

The cost of hyperparameter tuning in deep learning has been rising with model sizes, prompting practitioners to find new tuning methods using a proxy of smaller networks. One such proposal uses $\mu$P parameterized networks, where the…

Machine Learning · Statistics 2023-12-11 Blake Bordelon , Lorenzo Noci , Mufan Bill Li , Boris Hanin , Cengiz Pehlevan